Is it a function?

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is the definition of a relation?

Back

A relation is a set of ordered pairs, typically represented as (x, y).

Front

Is the relation {(1,5),(1,7),(3,9),(4,11)} a function?

Back

No, because the input '1' has two different outputs (5 and 7).

Front

Which of the following is a function? (9,5) (10,5) (9,-5) (10,-5), (3,4) (4,-3) (7,4) (3, 8), (6,-5) (7, -3) (8, -1) (9, 1), (2, -2) (5, 9) (5, -7) (1, 4)

Back

(6,-5) (7, -3) (8, -1) (9, 1) is a function because all x-values are unique.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

For the function rule y = -2x + 3, what is the output when the input is 4?

Back

The output is -5.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain?

Back

The domain is {0, 1, 2, -4}.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the range?

Back

The range is {1, -3, -4}.

Front

What does it mean if a relation is not a function?

Back

It means that at least one input has more than one output.